1,591,761

3 × 17 × 23² × 59

1,591,761 factors as 3 × 17 × 23^2 × 59. Its 24 positive divisors give a proper-divisor sum of 797,199, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 3 × 17 × 23^2 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,388,960

Proper Divisor Sum 797,199

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1591753 ← → #1591783

Radix Representation

Decimal	1591761
Binary	110000100100111010001 (21 bits)
Octal	0o6044721
Hexadecimal	0x1849D1

Divisor Catalog (24)

Collatz Trajectory (101 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,591,761 4,775,284 2,387,642 1,193,821 3,581,464 1,790,732 895,366 447,683 1,343,050 671,525 2,014,576 1,007,288 503,644 251,822 125,911 377,734 188,867 566,602 283,301 849,904 424,952 212,476 106,238 53,119 159,358 79,679 239,038 119,519 358,558 179,279 537,838 268,919 806,758 403,379 1,210,138 605,069 1,815,208 907,604 453,802 226,901 680,704 340,352 170,176 85,088 42,544 21,272 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281

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